Synchrotron radiation is electromagnetic radiation emitted by charged particles accelerated in magnetic fields, often observed in cosmic rays and X-ray sources.Relativistic electrons entering a magnetic field experience acceleration perpendicular to their velocity and emit electromagnetic waves. Due to the high speed, the radiation is concentrated in a narrow cone along the direction of motion. The spectrum of synchrotron radiation is broad — from radio to X-rays. The radiation power increases with the particle energy and field strength.
Theoretically predicted in 1944 by D. Ivanenko and I. Pomeranchuk, and also by J. Schwinger. Experimentally discovered in 1947 by F. H. Pollock and a group of General Electric engineers on a 70 MeV synchrotron. Introduced into astrophysical practice in the 1950s thanks to the work of V. L. Ginzburg and others. Linked to Maxwell's equations, which laid the foundation for understanding electromagnetic radiation.
A charged particle moving in a magnetic field B with relativistic velocity v experiences the Lorentz force, producing a centripetal acceleration a = (e v B)/(γ m). According to Maxwell's equations, an accelerated charge radiates electromagnetic waves. For ultra-relativistic particles (γ ≫ 1), the radiation is strongly beamed forward due to relativistic angle transformation. The emission spectrum of a single electron peaks at frequency ν_c = (3/4π) (e B / m_e c) γ^2, and an ensemble of particles with an energy distribution yields a power-law spectrum. In astrophysical sources, synchrotron radiation is often accompanied by inverse Compton scattering.
Used in X-ray microscopy to study the structure of materials, helping to see details as small as an atom.
Synchrotron radiation from giant jets of black holes is so powerful that it is visible through telescopes across billions of light-years.
| \nu_c | variable | Critical synchrotron frequency — frequency hertz |
| \gamma | variable | Lorentz factor of electron — lorentz factor |
| e | variable | Elementary charge — elementary charge coulomb |
| B | variable | Magnetic field strength — magnetic flux density tesla |
| m_e | variable | Electron rest mass — electron mass kilogram |
| c | variable | Speed of light in vacuum — speed of light metre per second |
| ν_c | variable | Cyclotron frequency — frequency hertz |
| e | variable | Elementary charge — elementary charge coulomb |
| B | variable | Magnetic field strength — magnetic flux density tesla |
| m_e | variable | Electron mass — electron mass kilogram |














